#define PRE_COMP_16

#ifdef BIT_COUNT1

#define MASK_01010101 (((unsigned int)(-1))/3)
#define MASK_00110011 (((unsigned int)(-1))/5)
#define MASK_00001111 (((unsigned int)(-1))/17)
int bitcount (unsigned int n) {
   n = (n & MASK_01010101) + ((n >> 1) & MASK_01010101) ;
   n = (n & MASK_00110011) + ((n >> 2) & MASK_00110011) ;
   n = (n & MASK_00001111) + ((n >> 4) & MASK_00001111) ;
   return n % 255 ;
}

#endif 

#ifdef MIT_HAKMEM
int bitcount(unsigned int n) {
   register unsigned int tmp;
   tmp = n - ((n >> 1) & 033333333333)
            - ((n >> 2) & 011111111111);
   return ((tmp + (tmp >> 3)) & 030707070707) % 63;
}
#endif 

#ifdef PRE_COMP_8
char bits_in_8bits[ 0x1u << 8 ] = 
{
0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8
};
#endif
#ifdef PRE_COMP_16

char bits_in_16bits [0x1u << 16] = { 
0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
5,6,6,7,6,7,7,8,6,7,7,8,7,8,8,9,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
6,7,7,8,7,8,8,9,7,8,8,9,8,9,9,10,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
7,8,8,9,8,9,9,10,8,9,9,10,9,10,10,11,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
8,9,9,10,9,10,10,11,9,10,10,11,10,11,11,12,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
12,13,13,14,13,14,14,15,13,14,14,15,14,15,15,16
};

int bitcount (unsigned int n)
{
   return bits_in_16bits [n & 0xffffu] 
       +  bits_in_16bits [(n >> 16) & 0xffffu] ;
}
#endif
